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Finding the Fourth Proportional to 10,078.02, 15,117.03 and 8,343

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Solution

The fourth proportional to 10,078.02, 15,117.03 and 8,343 is: 12,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.02 : 15,117.03 = 8,343 : x
  2. Step 2: Convert to fraction form
    10,078.02/15,117.03 = 8,343/x
  3. Step 3: Cross multiply
    10,078.02x = 15,117.03 × 8,343
  4. Step 4: Simplify right side
    10,078.02x = 126,121,381.29
  5. Step 5: Solve for x
    x = 126,121,381.29/10,078.02
  6. Step 6: Final answer
    x = 12,514.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.